Non-Newtonian uids are increasingly being transported by a variety of vehicles. It has been observed that vehicles containing such uids demonstrate behaviour which could be explained only by non-linearity characteristics of such uids. In this paper small oscillations of non-Newtonian uids in tanks are considered. A numerical method suitable for both Newtonian and non-Newtonian uids is suggested...

Hemispheric ozone variability indices derived from satellite observations and as diagnostics for coupled chemistry-climate models T. Erbertseder, V. Eyring, M. Bittner, M. Dameris, and V. Grewe German Remote Sensing Data Center, DFD, German Aerospace Center, DLR, Germany Institute for Atmospheric Physics, German Aerospace Center, DLR, Germany Received: 4 April 2006 – Accepted: 24 May 2006 – Pub...

This article introduces a joined Bayesian estimation of gas samples issued from a gas chromatography column (GC) coupled with a NEMS sensor based on Giddings Eyring microscopic molecular stochastic model. The posterior distribution is sampled using a Monte Carlo Markov Chain and Gibbs sampling. Parameters are estimated using the posterior mean. This estimation scheme is finally applied on simul...

We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive post-Newtonian equations of motion for relativistic compact binaries based on a surface integral approach and the strong field point particle limit. As an application we derive third post-Newtonian equations of motion for ...

The goal of this work is to look at how heat transfer affects the oscillating flow a hydrodynamically magnetizing Prandtl-Eyring fluid through porous material under impact temperature and concentration two different engineering conditions: Poiseuille Couette flow. To get an unambiguous formula for motion, we utilized perturbation approach. Graphs are used illustrate findings..

We point out the existence of a new type of growing transverse mode in the gravitational instability. This appears as a post-Newtonian effect to Newtonian dynamics. We demonstrate this existence by formulating the Lagrangian perturbation theory in the framework of the cosmological post-Newtonian approximation in general relativity. Such post-Newtonian order effects might produce characteristic ...

We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we use the (3+1) formalism to formulate the post-Newtonian approximation for the perfect fluid. As an application we show the method for constructing the equilibrium configuration of nonaxisymmetric uniformly rotating fluid. We also discuss the grav...

INTRODUCTION This paper represents the numerical simulation of blood flow in the circle of Willis (CoW). Circle of Willis is responsible for the oxygenated blood distribution into the cerebral mass. To investigate the blood behavior, two Newtonian and non-Newtonian viscosity models were considered and the results were compared under steady state conditions. METHODS Methodologically, the arter...

The flow of blood in narrow arteries with bell-shaped mild stenosis is investigated that treats blood as non-Newtonian fluid by using the K-L model. When skin friction and resistance of blood flow are normalized with respect to non-Newtonian blood in normal artery, the results present the effect of stenosis length. When skin friction and resistance of blood flow are normalized with respect to N...